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Finding the Third Proportional to 19,462 and 40,308

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Solution

The third proportional to 19,462 and 40,308 is: 83,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 40,308 = 40,308 : x
  2. Step 2: Convert to fraction form
    19,462/40,308 = 40,308/x
  3. Step 3: Cross multiply
    19,462x = 40,308 × 40,308
  4. Step 4: Simplify right side
    19,462x = 1,624,734,864
  5. Step 5: Solve for x
    x = 1,624,734,864/19,462
  6. Step 6: Final answer
    x = 83,482.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.